Consider the activities, durations, and predecessor relationships in the following network. Draw the network and answer the questions that follow.

Activity Description	Immediate Predecessor(s)	Optimistic (Weeks)	Most Likely (Weeks)	Pessimistic (Weeks)
A	---	4	7	10
B	A	2	8	20
C	A	8	12	16
D	B	1	2	3
E	D, C	6	8	22
F	C	2	3	4
G	F	2	2	2
H	F	6	8	10
I	E, G, H	4	8	12
J	I	1	2	3

a) Draw the precedence diagram. (5 points)

b) What is the critical path? (5 points)

c) What is the probability of completion of the project after week 42?